Question 325162: Please help solve the following:
Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out twice as many units of plywood as lumber. It makes a profit of $20 on a unit of lumber and $50 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $12240?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out twice as many units of plywood as lumber. It makes a profit of $20 on a unit of lumber and $50 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $12240?
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Equations:
Quantity Eq:::P = 2L
Profit Eq::::20L + 50P = 12240
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Substitute for "P" and solve for "L":
20L + 50(2L) = 12240
120L = 12240
L = 102 units of lunber
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Since P=2L, P = 204 units of plywood
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Cheers,
Stan H.
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